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Finding the Fourth Proportional to 8,145.06, 12,215.49 and 3,214.73

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Solution

The fourth proportional to 8,145.06, 12,215.49 and 3,214.73 is: 4,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.06 : 12,215.49 = 3,214.73 : x
  2. Step 2: Convert to fraction form
    8,145.06/12,215.49 = 3,214.73/x
  3. Step 3: Cross multiply
    8,145.06x = 12,215.49 × 3,214.73
  4. Step 4: Simplify right side
    8,145.06x = 39,269,502.17
  5. Step 5: Solve for x
    x = 39,269,502.17/8,145.06
  6. Step 6: Final answer
    x = 4,821.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.